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2672940101 = 132341337647
BaseRepresentation
bin1001111101010001…
…1101010001000101
320220021121102111112
42133110131101011
520433233040401
61121122214405
7123144421166
oct23724352105
96807542445
102672940101
111151894507
126271b4405
13337a00a80
141b4dcb76d
151099dc3bb
hex9f51d445

2672940101 has 32 divisors (see below), whose sum is σ = 3090866688. Its totient is φ = 2292111360.

The previous prime is 2672940097. The next prime is 2672940119. The reversal of 2672940101 is 1010492762.

It is a happy number.

2672940101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2672940101 - 22 = 2672940097 is a prime.

It is a super-3 number, since 3×26729401013 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672940161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4130960 + ... + 4131606.

It is an arithmetic number, because the mean of its divisors is an integer number (96589584).

Almost surely, 22672940101 is an apocalyptic number.

It is an amenable number.

2672940101 is a deficient number, since it is larger than the sum of its proper divisors (417926587).

2672940101 is a wasteful number, since it uses less digits than its factorization.

2672940101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2672940101 is about 51700.4845335128. The cubic root of 2672940101 is about 1387.8091361728.

The spelling of 2672940101 in words is "two billion, six hundred seventy-two million, nine hundred forty thousand, one hundred one".

Divisors: 1 13 23 41 299 337 533 647 943 4381 7751 8411 12259 13817 14881 26527 100763 179621 193453 218039 317791 344851 610121 2834507 4131283 5014897 7931573 8939599 65193661 116214787 205610777 2672940101